Given that the allowance is variable. It varies in a week.
Let X = be your allowance.
Monday to Wednesday, you already incurred
Monday = X / 2
Tuesday = Monday / 2
Wednesday = Tuesday / 2
The money left you have will be
Money left = X - (Monday + Tuesday + Wednesday)
Area = 1/2 bh
96 = 1/2 x b x 8 = 4b
b = 96/4 = 24 inches
Perimeter = 3b [since the other sides are equal to the base]
P = 3 x 24 = 72 inches.
Answer:
The correct options are:
- g(x) is shifted three units higher than f(x).
- g(x) has a period that is half the period of f(x).
Step-by-step explanation:
We have to compare the graphs of the function:

and 
We have to select the correct options among the following:
As we know that the period of sine function is 2π.
i.e. Period of function f(x) is: 2π.
The period of sin(2 x) is π.
Hence, the period of the function g(x) function is π.
- Hence, the period of g(x) is half the period of f(x).
- Also we could observe that g(x) is shifted 3 units upward.
Answer:
The solution to the pair of equations is 
Step-by-step explanation:
The given equations are:


To solve the pair of equations graphically, we need to graph the two equations. Their point of intersection is the solution to the pair of equations.
The functions are in the form;

where m=6 is the slope and b=-4 is the y-intercept of
.
and where m=5 is the slope and b=-3 is the y-intercept of
.
The two equations have been graphed in the attachment.
They intersected at (1,2).
The solution to the pair of equations is 
Answer:
the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour
Step-by-step explanation:
The computation of the standard deviation of the speeds of cars is shown below;
The z score for the top 1% is 2.326
So,
= (75 - 61) ÷ standard deviation = 2.326
Standard deviation is
= 14 ÷ 2.326
= 6.0 miles per hour
Hence, the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour